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WorksheetsGeometry - Triangle Inequalities
Total questions: 25
Worksheet time: 31mins
Name
Class
Date
1.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
2.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
3.
Could a triangle with these side lengths exist?
33, 16, 17
33, 16, 17
a)
Yes
b)
No
c)
I don't know.
4.
Select the measurements that match the sides of a triangle.
a)
7, 9, 19
b)
7, 12, 1
c)
7, 7, 7
d)
7, 7, 16
5.
If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?
a)
any length
b)
equal to 10
c)
greater than 10
d)
less than 10
6.
Which of the following is a possible length for segment AC
a)
10
b)
15
c)
17
d)
9
7.
Using the hinge theorem, we can say that AB _____ DC
a)
Greater than
b)
Less than
c)
Equal to
d)
Half of
8.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to
d)
Half of
9.
Two sides of each triangle in the circle are formed
from the radii of the circle. Compare EF and FG.
from the radii of the circle. Compare EF and FG.
a)
EF = FG
b)
EF < FG
c)
EF > FG
d)
Not enough information is given.
10.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
11.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
12.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
13.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
14.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
15.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
16.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
17.
Can a triangle be formed with side lengths:
4, 7, 10
4, 7, 10
a)
yes
b)
no
c)
not enough information
18.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
19.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
20.
The dotted line represents a ?...
a)
median
b)
centroid
c)
midsegment
d)
midpoint
21.
What is an angle bisector?
a)
Makes two 90 degree angles
b)
splits a 90 degree angle in half
c)
splits any angle in half
d)
splits 2 sides in half
22.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
23.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
24.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
25.
Given: AM is the median,
AB=4x-6, BM=2x-2 , MC=3x-14 , CA=5x-20 . Find the value of x.
AB=4x-6, BM=2x-2 , MC=3x-14 , CA=5x-20 . Find the value of x.
a)
x = 12
b)
x = 2
c)
x = 14
d)
x = -8
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